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Finding the Third Proportional to 255,200 and 549,400

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Solution

The third proportional to 255,200 and 549,400 is: 1,182,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,200 : 549,400 = 549,400 : x
  2. Step 2: Convert to fraction form
    255,200/549,400 = 549,400/x
  3. Step 3: Cross multiply
    255,200x = 549,400 × 549,400
  4. Step 4: Simplify right side
    255,200x = 301,840,360,000
  5. Step 5: Solve for x
    x = 301,840,360,000/255,200
  6. Step 6: Final answer
    x = 1,182,760.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.